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How does gravity force get transmitted?

It is not transmitted by particles I guess. Because if it was, then its propagation speed would be limited by the speed of light. If it is not transmitted by particles how is it transmitted then?

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When you learn about gravity at college you're almost always considering situations that are static i.e. they don't change with time. For example you'll learn early on that the gravitational potential of the Earth is given by Newton's equation and this doesn't have any dependance on time. Later on you'll learn that General Relativity gives a more accurate description of the gravity of the Earth (or more usually of a star) called the Schwarzchild metric. This does have a time variable in it, but the metric itself it is independant of time just like Newton's equation.

To address your question about the propogation of gravity you have to ask questions like "what would happen to satellites if the Earth suddenly disappeared?". When the Earth is present the satellites are happily orbiting because of Earth's gravity. If the Earth suddenly disappeared would the satellites instantly veer off in a straight line, or would it take some time before they reacted to the Earth's disappearance.

The answer is that they would take some time to react because the change in the Earth's gravitational field would propagate at the speed of light. The change propagates by gravitational waves and these travel at the speed of light.

A gravitational wave is basically a disturbance in the curvature of space. Consider this analogy. A water wave is a disturbance in the surface of water. Suppose you had a model of the Earth floating on a pond and you suddenly pulled it out to leave a hemispherical dimple. Waves would flow into the dimple then spread out across the pond. A duck floating some distance away wouldn't know immediately that the model Earth was gone: it would only know when the waves reached it.

This is a somewhat dodgy analogy (I can hear the general relativists screaming already!) so don't take it too seriously. Apart from anything else gravity waves are mathematically very different from water waves. Still, I hope it gives the general idea. Changes in gravitational fields propagate by gravitational waves, and these move at the speed of light.

You mention particles. The description about is a classical one, and you might ask how quantum mechanics views the situation. After all, radio waves are a classical description and quantum mechanics views them as made up from particles called photons. Well you can describe a quantum gravitational field as being made up of particles called gravitons. However it is not at all clear that gravitons are a good description of quantum gravity. No-one has ever observed them, but then it would take energies far far higher than those attainable at the LHC to see gravitons, so it's no surprise they haven't been observed yet. If gravitons do exist they will travel at the speed of light just like photons.

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As an aside, gravitons are pretty speculative, and having been through any sort of testing but to support the gravitational waves idea, the general theory of relativity predicts these ripples as a way of dissipating energy and this has (implicitly) been observed in different ways. One of the most convincing observations was the prediction of the slowing of PSR J0737-3039 - a double pulsar. What you have here is two radiating emitting neutron stars (The densest objects known other than black holes) orbiting around the pair's centre of mass. –  TCTopCat Apr 28 '12 at 19:34
    
The orbit causes huge distortions in space-time and the predicted energy emitted in gravitational waves was used to estimate the rate of slowing in the orbit and when compared to observations, there was only a discrepancy found in the range of ~0.03%! –  TCTopCat Apr 28 '12 at 19:36
    
Yes indeed, though wasn't PSR B1913+16 (en.wikipedia.org/wiki/PSR_B1913%2B16) the first pulsar used to detect gravity waves? Pretty much everyone believes gravity waves exist, though they haven't been detected on Earth yet. –  John Rennie Apr 28 '12 at 19:38
    
It was suggestive, but PSR J0737-3039 is the closest we've ever got to astrophysical proof. PSR B1913+16, for those who don't know, is made of at least a pulsar and a neutron star, but PSR J0737-3039 is made up of two pulsars whose irradiation beams both cross the Earth: which allows for accurate measurements of Shapiro delays (Time dilation effect). –  TCTopCat Apr 28 '12 at 19:53
    
You can't make the Earth disappear, you can only shake it. If you make it disappear, the gravitational field becomes inconsistent, since it implies the conservation of mass-energy. –  Ron Maimon Apr 30 '12 at 5:03
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It depends on how you think about gravity. In the framework of general relativity (the most complete, accepted paradigm), then gravity isn't a 'force' in the classical sense---but is instead the results of the geometry of space-time. Energy/mass curve spacetime; other bodies react to that curvature in their motion. Thus there is no force-carrier.

If you consider gravity in a particle-physics framework (which we don't have a complete model for, but many people are working on models of such a 'quantum gravity'), then gravity is believed to be conveyed by the spin-2 graviton.

In both cases changes in gravity propagate at the speed of light.

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The two pictures, force and geometry, are dual, and believing one is right does not require one to deny the other. –  Ron Maimon Apr 30 '12 at 5:04
    
Absolutely. That's why I used the terms 'how you think about gravity', 'framework of GR', and 'consider in a particle-physics framework'. –  zhermes Apr 30 '12 at 14:16
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Propagation of gravitational force is limited by the speed of light. In fact transmission of any kind of information is restricted by the speed of light. According to the general theory of relativity gravitational force propagates at the speed of light

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